Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 45328 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1^2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^2q_2$ + $ M_1M_4$ | 1.7579 | 1.8488 | 0.9508 | [X:[1.3275], M:[0.8908, 1.1266, 0.7729, 1.1092], q:[0.4367, 0.5546], qb:[], phi:[0.3362]] | [X:[[6]], M:[[-2], [-16], [5], [2]], q:[[8], [1]], qb:[], phi:[[-3]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ q_1q_2$, $ M_4$, $ q_2^2$, $ M_2$, $ \phi_1q_1q_2$, $ X_1$, $ \phi_1^4$, $ M_3^2$, $ \phi_1^2q_1^2$, $ \phi_1^2q_1q_2$, $ M_3q_1q_2$, $ \phi_1^2q_2^2$, $ M_3M_4$, $ M_3q_2^2$, $ M_2M_3$, $ q_1^2q_2^2$ | $\phi_1^3q_1q_2$ | -1 | t^2.32 + t^2.97 + 2*t^3.33 + t^3.38 + 2*t^3.98 + t^4.03 + 2*t^4.64 + t^4.99 + t^5.29 + t^5.34 + t^5.65 + t^5.7 + t^5.95 - t^6. + 4*t^6.3 + 2*t^6.66 + t^6.71 + t^6.76 + 4*t^6.96 + 5*t^7.31 + 3*t^7.36 + t^7.41 + 2*t^7.61 + 6*t^7.97 + 3*t^8.02 + t^8.07 + t^8.27 + t^8.32 + 4*t^8.62 + t^8.67 + t^8.72 + t^8.92 - t^4.01/y - t^5.32/y - t^5.67/y - t^6.03/y - t^6.33/y - t^6.98/y - (2*t^7.34)/y - t^7.39/y - t^7.64/y - (2*t^7.99)/y - t^8.04/y - (2*t^8.65)/y + t^8.7/y - t^4.01*y - t^5.32*y - t^5.67*y - t^6.03*y - t^6.33*y - t^6.98*y - 2*t^7.34*y - t^7.39*y - t^7.64*y - 2*t^7.99*y - t^8.04*y - 2*t^8.65*y + t^8.7*y | g1^5*t^2.32 + g1^9*t^2.97 + 2*g1^2*t^3.33 + t^3.38/g1^16 + 2*g1^6*t^3.98 + t^4.03/g1^12 + 2*g1^10*t^4.64 + g1^3*t^4.99 + g1^14*t^5.29 + t^5.34/g1^4 + g1^7*t^5.65 + t^5.7/g1^11 + g1^18*t^5.95 - t^6. + 4*g1^11*t^6.3 + 2*g1^4*t^6.66 + t^6.71/g1^14 + t^6.76/g1^32 + 4*g1^15*t^6.96 + 5*g1^8*t^7.31 + (3*t^7.36)/g1^10 + t^7.41/g1^28 + 2*g1^19*t^7.61 + 6*g1^12*t^7.97 + (3*t^8.02)/g1^6 + t^8.07/g1^24 + g1^23*t^8.27 + g1^5*t^8.32 + 4*g1^16*t^8.62 + t^8.67/g1^2 + t^8.72/g1^20 + g1^27*t^8.92 - t^4.01/(g1^3*y) - (g1^5*t^5.32)/y - t^5.67/(g1^2*y) - t^6.03/(g1^9*y) - (g1^2*t^6.33)/y - (g1^6*t^6.98)/y - (2*t^7.34)/(g1*y) - t^7.39/(g1^19*y) - (g1^10*t^7.64)/y - (2*g1^3*t^7.99)/y - t^8.04/(g1^15*y) - (2*g1^7*t^8.65)/y + t^8.7/(g1^11*y) - (t^4.01*y)/g1^3 - g1^5*t^5.32*y - (t^5.67*y)/g1^2 - (t^6.03*y)/g1^9 - g1^2*t^6.33*y - g1^6*t^6.98*y - (2*t^7.34*y)/g1 - (t^7.39*y)/g1^19 - g1^10*t^7.64*y - 2*g1^3*t^7.99*y - (t^8.04*y)/g1^15 - 2*g1^7*t^8.65*y + (t^8.7*y)/g1^11 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 45490 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1^2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^2q_2$ + $ M_1M_4$ + $ M_5q_1q_2$ | 1.7581 | 1.8483 | 0.9512 | [X:[1.3421], M:[0.886, 1.0877, 0.7851, 1.114, 0.9868], q:[0.4562, 0.557], qb:[], phi:[0.3289]] | t^2.36 + t^2.96 + t^3.26 + 2*t^3.34 + t^3.95 + 2*t^4.03 + 2*t^4.71 + t^5.01 + 2*t^5.32 + t^5.62 + t^5.7 + t^5.92 - t^6. - t^3.99/y - t^5.36/y - t^5.66/y - t^5.96/y - t^3.99*y - t^5.36*y - t^5.66*y - t^5.96*y | detail | |
| 45456 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1^2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^2q_2$ + $ M_1M_4$ + $ q_1^2q_2^2$ | 1.7577 | 1.848 | 0.9511 | [X:[1.3333], M:[0.8889, 1.1111, 0.7778, 1.1111], q:[0.4444, 0.5556], qb:[], phi:[0.3333]] | t^2.33 + t^3. + 3*t^3.33 + 3*t^4. + 2*t^4.67 + t^5. + 2*t^5.33 + 2*t^5.67 - t^4./y - t^5.33/y - t^5.67/y - t^6./y - t^4.*y - t^5.33*y - t^5.67*y - t^6.*y | detail | {a: 1139/648, c: 2395/1296, X1: 4/3, M1: 8/9, M2: 10/9, M3: 7/9, M4: 10/9, q1: 4/9, q2: 5/9, phi1: 1/3} |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 45138 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1^2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^2q_2$ | 1.7678 | 1.8652 | 0.9477 | [X:[1.3304], M:[0.8899, 1.1188, 0.7754], q:[0.4406, 0.5551], qb:[], phi:[0.3348]] | t^2.33 + t^2.67 + t^2.99 + t^3.33 + t^3.36 + 2*t^3.99 + t^4.02 + 2*t^4.65 + 2*t^5. + t^5.31 + 2*t^5.34 + t^5.66 + t^5.68 + t^5.97 - t^4./y - t^5.33/y - t^5.67/y - t^4.*y - t^5.33*y - t^5.67*y | detail |